Triple
T14334413
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan tau function |
E355432
|
entity |
| Predicate | congruenceProperty |
P56107
|
FINISHED |
| Object | τ(n) ≡ σ_{11}(n) (mod 691) |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: τ(n) ≡ σ_{11}(n) (mod 691) | Statement: [Ramanujan tau function, congruenceProperty, τ(n) ≡ σ_{11}(n) (mod 691)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: congruenceProperty
Context triple: [Ramanujan tau function, congruenceProperty, τ(n) ≡ σ_{11}(n) (mod 691)]
-
A.
thirdCongruence
Indicates that two geometric figures or angles are congruent as a consequence of a third congruence relationship (e.g., by transitivity or a third-angle/side congruence rule).
-
B.
thirdCongruenceModulus
chosen
Indicates that the third argument serves as the modulus with respect to which two other quantities are congruent.
-
C.
secondCongruence
Indicates that one entity is congruent to another with respect to a second, distinct congruence relation or modular equivalence condition.
-
D.
conjugacyProperty
Indicates that two elements or structures are related by conjugation, sharing the same form up to an inner automorphism or similarity transformation.
-
E.
secondCongruenceModulus
Indicates that the second argument specifies the modulus with respect to which two values are congruent in a modular arithmetic relationship.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d8278fa2108190bc0d0e7939c1eb03 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de8c20d2148190bb534bef338e871d |
completed | April 14, 2026, 6:49 p.m. |
| PD | Predicate disambiguation | batch_69de2a9515f4819081aabf251bca5878 |
completed | April 14, 2026, 11:52 a.m. |
Created at: April 10, 2026, 1:13 a.m.